The results from 10 years of testing consistently show that:
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CMP is an effective middle school curriculum for all students.
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CMP students do as well as, or better than, non-CMP students on tests of basic skills
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outperform non-CMP students on tests of problem- solving ability, conceptual understanding, and proportional reasoning.
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CMP students can use basic skills to solve important mathematical problems and are able to communicate their reasoning and understanding.
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By the end of grade 8, CMP students show considerable ability to solve non-routine algebra problems
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Students demonstrate a strong understanding of linear functions and a beginning understanding of exponential and quadratic functions
7th Grade
home for the 7th grade interactive activities!
Variables and Patterns -- Introducing Algebra
connected monkeys - interactive animation and graphing...in monkey language!
variables; representations of relationships, including tables, graphs, words, and symbols
Stretching and Shrinking -- Similarity
similar figures; scale factors; side length ratios; basic similarity transformations and their algebraic rules
Comparing and Scaling -- Ratio, Proportion, and Percent
rates and ratios; making comparisons; proportional reasoning; solving proportions
Accentuate the Negative -- Positive and Negative Numbers
check your chips with positive black and negative red chips
integer product game multiply positive and negative numbers with a partner
understanding positive and negative integers and rational numbers; operations; order of operations; distributive property; four-quadrant graphing
Moving Straight Ahead -- Linear Relationships
climbing monkeys again, but this time what represents slope and y-intercept?
recognize and represent linear relationships in tables, graphs, words, and symbols; solve linear equations; slope
Filling and Wrapping -- Three-Dimensional Measurement
fill the virtual cylinder - a tougher challenge!
virtual pouring - find out how many times you have to fill one shape and pour it into the others!
spatial visualization, volume and surface area of various solids, volume and surface area relationship
What Do You Expect? -- Probability and Expected Value
playing darts...with different shaped dartboards!
expected value, probabilities of two-stage outcomes
Data Distributions -- Describing Variability and Comparing Groups
measures of center, variability in data, comparing distributions of equal and unequal sizes
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8th Grade
click here for the CMP 8th grade activitiesThinking With Mathematical Models -- Linear and Inverse Variation
introduction to functions and modeling; finding the equation of a line; inverse functions; inequalities
Looking for Pythagoras -- The Pythagorean Theorem
square roots; the Pythagorean Theorem; connections amongcoordinates, slope, distance, and area; distances in the plane
Growing, Growing, Growing -- Exponential Relationships
recognize and represent exponential growth and decay in tables, graphs, words, and symbols; rules of exponents; scientific notation
Frogs, Fleas and Painted Cubes -- Quadratic Relationships
recognize and represent quadratic functions in tables, graphs, words and symbols; factor simple quadratic expressions
Kaleidoscopes, Hubcaps and Mirrors -- Symmetry and Transformations
symmetries of designs, symmetry transformations, congruence, congruence rules for triangles
Say It With Symbols -- Making Sense of Symbols
equivalent expressions, substitute and combine expressions, solve quadratic equations, the quadratic formula
Shapes of Algebra -- Linear Systems and Inequalities
coordinate geometry, solve inequalities, standard form of linear equations, solve systems of linear equations and linear equalities.